In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG and FH are perpendicular to sides of

sinA = 16/18

angle A = 62.73^o

FH = 27*sin62.73^o

FH = 24

Same answer, but I like yours better, geno! 

The area of a parallelogram can be found by multiplying a side times the height to that side.

Since you will get the same answer using whatever side you want to use:

Area  =  FH x AD  =  EG x DC

--->        FH x 18  =  16 x 27

--->                FH  =  24

Very nice, geno....!!!!